Q22. - Algebra 2

Question

Find the next four terms of each arithmetic sequence.

 1.3, 3.8, 6.3, …

Step-by-Step Solution

Answer

The next four terms of the arithmetic sequence are 8.8, 11.3, 13.8, 16.3.

Step 1. Given Information.

The given arithmetic sequence is 1.3, 3.8, 6.3, …

Step 2. Calculation .

A sequence is said to be arithmetic when the difference between the consecutive terms is always the same.

 

Here the difference between the first two terms is  $3.8-1.3=2.5$

The difference between the next two terms is  $6.3-3.8=2.5$

So, the common difference is 2.5.

 

The next term in the arithmetic sequence is  $6.3+2.5=8.8$

The next term in the arithmetic sequence is  $8.8+2.5=11.3$

The next term in the arithmetic sequence is  $11.3+2.5=13.8$

The next term in the arithmetic sequence is  $13.8+2.5=16.3$

Step 3. Conclusion .

Hence, the next four terms of the arithmetic sequence are 8.8, 11.3, 13.8, 16.3.